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Finding the Third Proportional to 534,305 and 787,330

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Solution

The third proportional to 534,305 and 787,330 is: 1,160,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,305 : 787,330 = 787,330 : x
  2. Step 2: Convert to fraction form
    534,305/787,330 = 787,330/x
  3. Step 3: Cross multiply
    534,305x = 787,330 × 787,330
  4. Step 4: Simplify right side
    534,305x = 619,888,528,900
  5. Step 5: Solve for x
    x = 619,888,528,900/534,305
  6. Step 6: Final answer
    x = 1,160,177.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.